单元解体法精确求解梁元无应力构形

发布时间：2018-04-18 02:12

本文选题：几何非线性 + 无应力构形　；参考：《湖南大学学报(自然科学版)》2016年11期

【摘要】：基于非线性二阶梁柱理论及CR-UL全量求解方法,利用单元解体理论(几何法及零作用法)精确求解平面结构中梁元的完整无应力构形.利用目标构形几何信息及其对应的单元抗力直接求解梁元无应力构形基本参数;采用几何法直接进行坐标转换即得构件单元完整无应力构形;采用零作用法并利用无应力构形基本参数进行逆向计算亦可求解其完整无应力构形;编写程序对提出的两种方法进行了算法及最终结果的验证.结果表明利用几何法可在不建立结构有限元模型的条件下精确高效求解构件的完整无应力构形,利用零作用法亦可精确求解构件完整无应力构形,但需编写完善的几何非线性程序.
[Abstract]:Based on the nonlinear second-order Liang Zhu's theory and CR-UL 's total solution method, the complete stress-free configuration of beam elements in planar structures is solved accurately by using the theory of element disintegration (geometric method and zero-action method).The geometric information of the target configuration and its corresponding element resistance are used to directly solve the basic parameters of the non-stress configuration of the beam element, and the complete stress-free configuration of the member element is obtained by using the geometric method to transform the coordinate directly.The complete stress-free configuration can be solved by using the zero-action method and the basic parameters of the stress-free configuration, and the algorithms and the final results are verified by the program.The results show that the complete stress-free configuration can be solved accurately and efficiently by the geometric method without establishing the finite element model of the structure, and the complete stress-free configuration can be solved accurately by using the zero-action method.But it is necessary to write perfect geometric nonlinear program.
【作者单位】：长沙理工大学桥梁工程湖南省高校重点实验室;长沙理工大学土木与建筑学院;
【基金】：国家自然科学基金资助项目(51178059,51178058,51678070) 国家重点研究基础发展计划(973计划)资助项目(2015CB057706) 长沙理工大学桥梁工程湖南省高校重点实验室开放基金资助项目(13KA03) 湖南省教育厅资助科研项目(10K006)~~
【分类号】：TU311.4

【相似文献】